MATH 113 Midterm: MATH 113 Harvard 113 Fall 01113Midterm
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There are a total of 75 possible points on this test. You may not collaborate with anyone else on this exam. You may use the class textbook, your class notes, your homework write-ups, and the homework solutions handed out by the ca"s as references on this exam. No other resources are allowed in particular, you may not use any books other than the class textbook. By taking this exam, you are agreeing to obey by these rules. Any violation of these rules, if detected, will result in a score of zero on the exam. You may refer to previous homework problems and any theorems we have proved in class in your solutions to the following problems. Try to be both concise and rigorous whenever possible. Good luck: (10 points, compute all the complex cube roots of 8i, fix an integer n 1, and let 0, 1, . , n 1 be the nth roots of unity.
